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1103102423120 = 24583398941647
BaseRepresentation
bin10000000011010110000…
…001110011000001010000
310220110022002211012011202
4100003112001303001100
5121033123210014440
62202431441130332
7142460622613625
oct20032601630120
93813262735152
101103102423120
11395906618445
121599569299a8
13800397711b9
143b56753234c
151da63027615
hex100d6073050

1103102423120 has 80 divisors (see below), whose sum is σ = 2596326324480. Its totient is φ = 435805066752.

The previous prime is 1103102423117. The next prime is 1103102423167. The reversal of 1103102423120 is 213242013011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1103102423092 and 1103102423101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26466137 + ... + 26507783.

It is an arithmetic number, because the mean of its divisors is an integer number (32454079056).

Almost surely, 21103102423120 is an apocalyptic number.

1103102423120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103102423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298163162240).

1103102423120 is an abundant number, since it is smaller than the sum of its proper divisors (1493223901360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1103102423120 is a wasteful number, since it uses less digits than its factorization.

1103102423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45732 (or 45726 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1103102423120 its reverse (213242013011), we get a palindrome (1316344436131).

The spelling of 1103102423120 in words is "one trillion, one hundred three billion, one hundred two million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 3989 6640 7978 15956 19945 31912 39890 41647 63824 79780 83294 159560 166588 208235 319120 331087 333176 416470 662174 666352 832940 1324348 1655435 1665880 2648696 3310870 3331760 3456701 5297392 6621740 6913402 13243480 13826804 17283505 26486960 27653608 34567010 55307216 69134020 138268040 166129883 276536080 332259766 664519532 830649415 1329039064 1661298830 2658078128 3322597660 6645195320 13290390640 13788780289 27577560578 55155121156 68943901445 110310242312 137887802890 220620484624 275775605780 551551211560 1103102423120